Question 1
$$i_a, I_a$$
$$L_a$$
$$R_a$$
$$v_a, V_a$$
$$e_g, E_g$$
$$\omega$$
$$T_d$$
$$i_f, I_f$$
$$L_f$$
$$R_f$$
$$v_f, V_f$$
$$J$$
$$T_L$$
$$B$$
Fig. 1 Equivalent circuit for a separately excited DC motor
Fig.1 shows an equivalent circuit for a separately excited DC motor. For this circuit, design a simple model of an automatic motor control. Follow the following algorithm:
1.1 Formulate the mechanical and electrical equations.
1.2 Formulate the first order differential equations.
1.3 Formulate the state space analysis.
1.4 Simulate your automatic motor control in Matlab/Simulink for the following conditions:
1.4.1 Underdamped
1.4.2 Overdamped
1.4.3 Critically damped
